Determine whether each statement in Exercises 43–50 is true or fa...

Question

Determine whether each statement in Exercises 43–50 is true or false. 0 ≥ -6

Accepted Answer

Hello. Today we're going to be identifying whether in inequality statement is true or false. So that inequality statement given to us is zero is greater than or equal to negative 12. Now, since we are given the greater than or equal to symbol what this means is that we really have two statements in this inequality. The first statement is when zero is greater than - or the second statement is when zero is equal to negative 12. So the reason why it's or is because we can have one or the other and as long as one of these situations are true, then the statement is going to be true. Otherwise if both are false it's false. So we know that zero is not equal to 12. So we can go ahead And get rid of that possibility. Now we need to go ahead and check to see if zero is greater than -12. In order to do that. We're gonna check the number line. So any negative numbers on the number line are always labeled before zero. So negative 12 is going to be the left of zero and any numbers that are up to the left of zero are always going to be less than zero. So since negative 12 lies behind 00 is greater than negative 12. So this statement is true. And since one of the two straight statements of this inequality is true, this inequality statement is true all around. So I hope this video helps you in understanding how to determine whether this inequality statement is true or false and I'll go ahead and see you all in the next video.

Determine whether each statement in Exercises 43–50 is true or false. 0 ≥ -6

Key Concepts

Inequalities

Number Line

Negative and Positive Numbers

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